Surface Area Calculator

A Surface Area Calculator allows you to determine the external area of three-dimensional shapes quickly. It streamlines intricate equations, saves you time, and guarantees precise outcomes. Ideal for students, engineers, designers, and anyone requiring swift and dependable surface area computations for either educational or practical purposes.

What Is Surface Area?

Surface area is the total area covering the outer surface of a 3D object. You can think of it as the amount of “skin” required to wrap the shape.

There are two types:

• Total Surface Area (TSA): Area of all faces.
• Lateral Surface Area (LSA): Area of only the side faces (no top/bottom).

Surface Area Formulae

Sphere

$$A=4\pi r^2$$

Where:

• $r$ = radius of the sphere

Cylinder

$$A=2\pi r(h+r)$$

Where:

• $r$ = radius
• $h$ = height

Right Circular Cone

$$A=\pi r(r+l)$$

Where:

• $r$ = radius
• $l$ = slant height
  ($l=\sqrt{r^2+h^2}$ if only height is given)

Rectangular Prism (Cuboid)

$$A=2(lw+lh+wh)$$

Where:

• $l$ = length
• $w$ = width
• $h$ = height

Triangular Prism

$$A=\left(bh\right)+(s_1+s_2+b)L$$

Where:

• $b$ = base of triangle
• $h$ = height of triangle
• $s_1,s_2$ = other two sides
• $L$ = length of prism

Square (Regular) Pyramid

$$A=b^2+2bl$$

Where:

• $b$ = base length
• $l$ = slant height

Triangular Pyramid (Tetrahedron)

Add the areas of all triangular faces.

$$A=A1+A2+A3+A4$$

How to Calculate Surface Area Using Our Calculator?

1. Select the desired “Shape” and “Unit”.
2. Enter the required values.
3. Click “Calculate,” and the calculator automatically computes Surface Area for the desired shape.